Відео

Can you help me with this pls? Consider the hot air balloon with equation 9x^2 +9y^2 +4z^2 = 100. The temperature in the hot air balloon is given by the following function: f(x,y,z) = 18x^2 + 18y^2 + 8z^2 − 20 • Convert the regular area into appropriate spherical coordinates. • Calculate the volume of the balloon. • Calculate the average temperature in the Balloon

I didn't search for this video, but I needed it. Thanks algorithm.

Thank you for this !

What about a matrix like [3, 0; 0, 3]? It has repeated eigenvalues, yet the portrait looks differently.

For eigenvalues that are distinct but both positive or both negative, it can be hard to remember because we may start away from the origin or start at the origin. I realize now that either way, we begin parallel to the eigenvector with the smaller eigenvalue, then as the trajectory goes toward the origin or gets further away from it, we curve in the direction of the eigenvector with the larger eigenvalue. Then for repeated eigenvalues that have an improper node, we need a test point to plug into the system to determine the orientation of the trajectories being drawn away from or toward the origin. I don't see any difficulty with the purely imaginary or complex eigenvalues. It's funny how those are more clear. Thank you for clarifying all this.

You saved my math exam!!!

W video

if this helps me pass the exam, I will tattoo this channels name on my face. with lots of hearts near it.

This is the best thing ever you are a hero you are a hero of my people

This video is amazing and the best explanation I've gotten on the topic, thank you!

HUGE VIDEO FOR THE BOYS

best video on this ive seen thank you!

This was so clear and easy to follow. I am indebted to you forever.

awesome vid

Thanks, my last lecture I was completely stuck but this made more sense.

This video is goated

What if there is a zero eig-val? Why does nobody talk about it on UA-cam?!

Very clear. Thank you so much!

Thank you ! Very clear !!

Do defective matrices affect the phase portrait in any way? Or is it just those two cases for repeated eigenvalues.

Hey these are NOT sketches of portraits

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absolute boss

Thanks

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Lifesaver ig, no words😌

ur da best

Thank you 😊

At 16:55 the spiral should be counterclockwise,as the -2 down to -3 shows anti-clockwise sign and rest is fine...these lectures are treat to watch!!!!

The best video on this topic. I return to it all the time. Thank you so much!

Thankyou so much❤

Studied all day to find out how to sketch these portraits and you explained so well thank you. Im glad I found your video or I would still be lost.

Thank you

This video is literally like a hug

GREAT VIDEOOOOO!!! THANK YOU SO MUCH !!!!

amazing explanation! such a simple way to teach differential eqns

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The best procedure on the internet! well structured

You are the best

Great video! I was really struggling with these

thank you for making this step by step its greatly useful

If A Sentence Beauty With Brains Had A Face Thnk u Mam ❤❤

Excellent video. Have an exam in a couple hours never understood this till now

Thank u so much

Awesome explanation. I understood completely how to sketch, thank you, but still I don't understand very well why it works. Is there any books you would recommend for me to read? The knowledge to sketch a graph only looking to a matrix, eigenvalues and eigenvectors is insane. I bet this has something to do with linear algebra and, if it does, what topic of linear algebra is this? Anyway, thanks from Brazil!!

thank you for the video.

Nice 👍

Μαρκάκη είσαι ό,τι χειρότερο

really good explanation !!